Question

The roots of the equation $a^2{x}^2+(a+b)x-b^2=0$ are

• A. real and different
• B. real and equal
• C. imaginary
• D. none of these

Answer 1

The correct option is A real and different

$a^2{x}^2+(a+b)x-b^2=0$
Discriminant of this quadratic equation is,
$D=(a+b{)}^2+4a^2{b}^2$
$D=(a+b{)}^2+(2ab{)}^2>0\forall a,b\in R$
So, roots are real and different.